Question

Find the greatest number which can divide 89,53 and 77 by leaving a reminder 5 in each case please explain step by step​

Answer 1

First, we have to deduct the remainder mentioned in question ( 5 )

89 - 5 = 84

53 - 5 = 48

77 - 5 = 72

Let's take HCF of three numbers ( I.e 84,48,72 )

HCF = 12

ANSWER IS 12

.

LET'S VERIFY -

89/12 = REMAINDER IS 3

53/12 = REMAINDER IS 3

77/12 = REMAINDER IS 3

Answer 2

Answer:

The greatest number that can divide all the 3 numbers and leave a remainder of 5 is 12.

Step-by-step explanation:

$\red{\dagger}\red{\underline{Question:-}}$

Find the greatest number which can divide 89,53 and 77 by leaving a reminder 5 in each case.

$\red{\dagger}\red{\underline{Solution:-}$

Find the numbers without the remainder 5:

89 - 5 = 84

53 - 5 = 48

77 - 5 = 72

Find the Highest Common Factor:

84 = 2² × 3 × 7

48 = 2⁴ × 3

72 = 2³ × 3²

HCF = 2² × 3

HCF = 4  × 3

HCF = 12

The greatest number that can divide all the 3 numbers and leave a remainder of 5 is 12.